Advanced Topics in Linear Algebra
Language: English
Published by OUP US, 2011
- Hardcover
- New
Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
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Condition: New
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Seller Inventory # L1-9780199793730
- Title
- Advanced Topics in Linear Algebra
- Author
- O'Meara, Kevin C.
- Publisher
- OUP US
- Publication year
- 2011
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 0199793735
- ISBN 13
- 9780199793730
- Item weight
- 823 grams
Written in an engaging style, this book presents various advanced topics in linear algebra linked through the Weyr form. Kevin O'Meara, John Clark, and Charles Vinsonhaler develop the Weyr form from scratch and include an algorithm for computing it. A fascinating duality exists between the Weyr form and the Jordan form. Developing an understanding of both forms will allow students and researchers to exploit the mathematical capabilities of each in varying situations.
Weaving together ideas and applications from various mathematical disciplines, Advanced Topics in Linear Algebra is much more than a derivation of the Weyr form. It presents novel applications of linear algebra, such as matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry, with the latter two having topical connections to phylogenetic invariants in biomathematics and multivariate interpolation. Among the related mathematical disciplines from which the book draws ideas are commutative and noncommutative ring theory, module theory, field theory, topology, and algebraic geometry. Numerous examples and current open problems are included, increasing the book's utility as a graduate text or as a reference for mathematicians and researchers in linear algebra.
"Synopsis" may belong to another edition of this title.
About the Author
John Clark's research interests are in the theory of rings and modules, starting with his PhD written under the supervision of Christian Jensen of the University of Copenhagen. Ring theory has continued to fascinate and surprise him during these last forty years.
Charles I. Vinsonhaler has over 100 publications, most in algebra, a few in actuarial science and mathematics education. He coauthored a small book on problem solving with Tom DeFranco. He has held a number of visiting positions, including the University of Canterbury, NZ, where he was an Erskine Fellow.
"About the title" may belong to another edition of this title.
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